apply the associative and commutative properties to generate an expression equivalent to 2 ( a + 5 ) + 4 ( 2a + 3 ) - 10. A 12a + 10. B 10a + 22. C 9a + 12. D 10a + 12.

Answer 1

First, apply the associative property to group like terms together:

2(a + 5) + 4(2a + 3) - 10
= 2a + 10 + 8a + 12 - 10

Now, apply the commutative property to rearrange the terms:

= 2a + 8a + 10 + 12 - 10
= 10a + 10 + 12 - 10
= 10a + 12

Therefore, the expression equivalent to 2(a + 5) + 4(2a + 3) - 10 is 10a + 12. So, the correct answer is D) 10a + 12.